Answer:
The value of the 4 in 4,279 is 4,000.
Step-by-step explanation:
Answer:
10 ounces
Step-by-step explanation:
The total amount of ounces will the the amount worth 30 cents an ounce (x) plus the 50 ounces worth 20 cents an ounce. This amount is x + 50. The total worth of the mixture should be the worth of the unknown quantity (30 cents an ounce * x ounces) plus the worth of the known quantity (18 cents an ounce * 50 ounces). The total worth is then 30x + 18(50).
Selling the mixture at 20 cents an ounce means the total worth divided by the total amount equals 20 cents per ounce:
[30x + 18(50)] cents / [x + 50] ounces = 20 cents/ounce
Multiplying both sides by (x + 50) ounces yields
(30x + (18)(50) cents = 20(x + 50) cents
which solves to (30x + 900) cents = (20x + 1000) cents
now we use algebra to solve for the value of x
(30x + 900) - 900 = 20x + 1000 - 900 --> 30x = 20x + 100 -->
30x - 20 x --> 20x - 20 x + 100 --> 10x = 100 --> x = 10 ounces
Answer:
This is the graph one
Step-by-step explanation:
A(-1,-4) -->A' (1,-4)
B(-3,-2) ---> B'(3,-2)
C(-1,2) ---> C(1,2)
Answer:
c = 3
Step-by-step explanation:
A polynomial f(x) divided by (x + c) has remainder f(- c)
Substitute x = - c into the polynomial and equate to the remainder - 1
(- c)² + (c - 2)(- c) - c² - 3c + 5 = - 1 , simplify left side
c² - c + 2c - c² - 3c + 5 = - 1 , collect like terms on left side
- 2c + 5 = - 1 ( subtract 5 from both sides )
- 2c = - 6 ( divide both sides by - 2 )
c = 3
Well we know that the circle is equal to 360 and it is cut in half by JM but we also know that NM is the same as MK and half of 360 is 180 and 180 -55 =125 so jk equals 125
